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Finding the Third Proportional to 5,432,596 and 11,512,776

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Solution

The third proportional to 5,432,596 and 11,512,776 is: 24,397,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432,596 : 11,512,776 = 11,512,776 : x
  2. Step 2: Convert to fraction form
    5,432,596/11,512,776 = 11,512,776/x
  3. Step 3: Cross multiply
    5,432,596x = 11,512,776 × 11,512,776
  4. Step 4: Simplify right side
    5,432,596x = 132,544,011,226,176
  5. Step 5: Solve for x
    x = 132,544,011,226,176/5,432,596
  6. Step 6: Final answer
    x = 24,397,914.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.